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Hitting distributions domination and subordinate resolvents; an analytic approach |
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| Authors: | Nicu Boboc Gheorghe Bucur |
| Affiliation: | (1) Faculty of Mathematics and Informatics, University of Bucharest, Str. Academiei nr. 14, RO-010014 Bucharest, Romania;(2) Institute of Mathematics “Simion Stoilow”, Romanian Academy, P.O. Box 1-764, RO-014700 Bucharest, Romania |
| Abstract: | We give an analytic version of the well known Shih's theorem concerning the Markov processes whose hitting distributions are dominated by those of a given process. The treatment is purely analytic, completely different from Shih's arguments and improves essentially his result (in the case when the given processes are transient |
| Keywords: | Subordinate resolvents hitting distribution Markov process excessive function |
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